185972 has 12 divisors (see below), whose sum is σ = 342720. Its totient is φ = 88056.

The previous prime is 185971. The next prime is 185987. The reversal of 185972 is 279581.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 185972.

It is not an unprimeable number, because it can be changed into a prime (185971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1148 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2¹⁸⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

185972 is a deficient number, since it is larger than the sum of its proper divisors (156748).

185972 is a wasteful number, since it uses less digits than its factorization.

185972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2468 counting only the distinct ones).

The product of its digits is 5040, while the sum is 32.

The square root of 185972 is about 431.2447101125. The cubic root of 185972 is about 57.0798102265.

The spelling of 185972 in words is "one hundred eighty-five thousand, nine hundred seventy-two".